**Beiträge zur Algebra und Geometrie
**

Contributions to Algebra and Geometry

Vol. 39, No. 1, pp. 135-153 (1998)

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Plane Models of Semi-biplanes

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B. Polster; A. E. Schroth

Department of Pure Mathematics, University of Adelaide

Adelaide, South Australia 5005,Australia
Institut für Topologie, TU Braunschweig

Pockelsstr. 14, D-38106 Braunschweig, Germany

**Abstract:** The connection between semi-biplanes and antiregular generalized quadrangles is employed to construct different plane models of semi-biplanes. The connection between antiregular generalized quadrangles and circle planes is used to generalize these models. The plane models of the classical semi-biplane are described explicitely. They can be visualized easily. The treatment shows how the different models are connected.

**Keywords:** Semi-biplanes, generalized quadrangles, antiregular quadrangles, circle planes

**Classification (MSC91):** 51A50, 51E12, 51B05, 51H15.

**Full text of the article:**

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